What is 21.25 as a fraction?
21.25 as a fraction is 2125/100 and its simplest form is 85/4.
Learn how to find what is 21.25 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 21.25 in its equivalent fraction form. It is required to recognize the decimal point 21.25 as 2125 hundredths to get started with this decimal to fraction conversion. Continue reading to learn what is 21.25 as a fraction and how it can be found easily.
Summary: 21.25 in fraction form
21.25 can be recognized as 2125 hundredths, which can be represented as 2125/100 in fraction form. The simplest form of 2125/100 is 85/4. Therefore, 21.25 as a fraction is 85/4.
Write 21.25 as a fraction in simplest form.
21.25 = (?)
21.25 = 21.25/1
= (21.25/1) x (100/100) //21.25 can be recognized as 2125 hundredths.
= 2125/100 //2125 hundredths is equal to 2125/100 and it can be simplified further.
= (2125/25)/(100/25) //25 is the GCF of 2125 and 100. Divide both 2125 and 100 by the GCF 25 to simplify the fraction.
= 85/4
21.25 = 85/4
21.25 in its simplest fraction form is 85/4.
So, what is the fraction of 21.25?
It is 2125/100 in fraction. To simplify 2125/100, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 2125 by 25 gives 85,
and dividing 100 by 25 gives 4. Thus, 2125/100 simplifies to 85/4
Refer to the step by step work further to learn how to find what is 21.25 as a fraction in simple form.
step 1
Input values:
The decimal number = 21.25
What to be found:
What is 21.25 as a fraction in simplest form?
step 2 Write 21.25 as a simple fraction.
21.25/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 21.25/1.
Since the decimal 21.25 has 2 digits after the decimal point, multiply 100 with both numerator and denominator of 21.25/1 to make numerator as a whole number.
(21.25 x 100)/(1 x 100) = 2125/100
step 4
2125 hundredths is the fraction form of 21.25, however, it can be reduced further. To simplify 2125/100, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 2125 and 100 cancel each other.
2125/100 = (25 x 85)/(25 x 4)
= 85/4
2125/100 = 85/4
Hence,
21.25 as a fraction is 85/4.
Converting decimals like 21.25 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 21.25 to fraction form. In this case, 21.25 can be recognized as 2125 hundredths. So, the fraction form of 21.25 is 2125/100. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 2125/100 in its simplest form.